1) A PE teacher wants to see if playing a sport outside of school helps with their athletic
performance in class, more specifically running the mile. She takes a poll of the sports that
students are currently participating in and sports that students have played in the past. She
records her answers and compares them to their mile time.
a) What is the explanatory variable?
b) Can the results be generalized to the entire school?

In this study, the explanatory variable is the type of sports students participate in, specifically looking at its impact on mile time. Generalizing the results to the entire school requires careful consideration of sample biases and limitations.

Explanation:

The explanatory variable in this scenario is the type of sports students are participating in (both currently and in the past). This variable is what the PE teacher is investigating to see if it correlates with athletic performance, specifically the mile time. The results of this study cannot be generalized to the entire school without considering the potential biases and limitations of the sample taken. Factors such as the demographics of the students surveyed, the sports available, and individual differences need to be considered before generalizing the findings.

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